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Initial-boundary value problems for linear PDEs with variable coefficients

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Publication:3594419
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DOI10.1017/S0305004107000084zbMath1117.35302OpenAlexW2046696440MaRDI QIDQ3594419

P. A. Treharne, Athanassios S. Fokas

Publication date: 8 August 2007

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004107000084


zbMATH Keywords

space-dependent coefficientthird-order evolution PDE


Mathematics Subject Classification ID

Other special methods applied to PDEs (35A25)


Related Items

Solving the heat equation with variable thermal conductivity ⋮ The unified method for the heat equation: I. non-separable boundary conditions and non-local constraints in one dimension



Cites Work

  • Integrable nonlinear evolution equations on the half-line
  • Inverse scattering on the line
  • Parametric forcing, bound states and solutions of a nonlinear Schrodinger type equation
  • A new transform method for evolution partial differential equations
  • The generalized Dirichlet-to-Neumann map for certain nonlinear evolution PDEs
  • THE mKdV EQUATION ON THE HALF-LINE
  • The nonlinear Schrödinger equation on the half-line
  • Boundary value problems for systems of linear evolution equations
  • A transform method for linear evolution PDEs on a finite interval
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